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Finding the Third Proportional to 10,929.75 and 16,032.19

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Solution

The third proportional to 10,929.75 and 16,032.19 is: 23,516.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,929.75 : 16,032.19 = 16,032.19 : x
  2. Step 2: Convert to fraction form
    10,929.75/16,032.19 = 16,032.19/x
  3. Step 3: Cross multiply
    10,929.75x = 16,032.19 × 16,032.19
  4. Step 4: Simplify right side
    10,929.75x = 257,031,036.04
  5. Step 5: Solve for x
    x = 257,031,036.04/10,929.75
  6. Step 6: Final answer
    x = 23,516.64

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.